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## Understanding Exponents

1.
$3^5$ is an example of exponential form.
1. True
2. False

2.
The three in $5^3$ is a(n)                .
1. exponent
2. base
3. power
3.
What is the 6 in the expression $6^2$?
1. The base
2. The exponent
3. The power

4.
To square a number is to use what mathematical operation?
1. Multiplication
2. Division
3. Subtraction
5.
Any number written to the 0 power is always 1.
Example: $8^0 = 1$
1. True
2. False

6.
Any number to the first power is itself.
Example: $6^1 = 6$
1. True
2. False
7.
$4^3$ shows four cubed.
1. True
2. False

8.
$2^5$ is the same as 2 x 5.
1. True
2. False
9.
Which of the following shows 4 cubed?
1. $4^2$
2. $4^7$
3. $4^3$
4. $3^4$

10.
Which of the following shows 7 squared?
1. $7^3$
2. $7^2$
3. $2^7$
4. $7^5$
11.
Evaluate $1^15$.
1. 15
2. 16
3. 1
4. 14

12.
Evaluate.
$3^3$
1. 9
2. 27
3. 6
4. 81
13.
$5^3$ is bigger than $3^5$.
1. True
2. False

14.
Which one shows the numbers in order from smallest to biggest?
1. $3^2 , 2^3 , 6^1$
2. $6^1 , 2^3 , 3^2$
3. $2^3 , 6^1 , 3^2$
15.
Which of the following is equal to $5^4$ ?
1. 4 x 4 x 4 x 4 x 4
2. 5 x 4
3. 5 x 4 x 5 x 4
4. 5 x 5 x 5 x 5

16.
What is $2^4$ in expanded form?
1. $2*4$
2. $2*2*2*2$
3. $4*4*4*4$
4. $4*4$
17.
The volume of a certain cube can be found using the expression $5^3$. What is $5^3$ written as a product of the same factor?
1. 5 × 3
2. 3 × 5
3. 3 × 3 × 3 × 3 × 3
4. 5 × 5 × 5

18.
Choose < , >, or = to compare.

$10^4$                 10,000
1. <
2. >
3. =
19.
Write the bases and exponents for:
$3^5 n^3$

20.
Write the product using an exponent. Find the value.

$2 xx 2 xx 2 xx 2 xx 2$

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